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R -Projective Modules over a Semiperfect Ring

Published online by Cambridge University Press:  20 November 2018

R. D. Ketkar  and
N. Vanaja
R. D. Ketkar
Affiliation:
Department of Mathematics, University of Bombay, Bombay 400 098.
N. Vanaja
Affiliation:
Department of Mathematics, University of Bombay, Bombay 400 098.
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Abstract

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The aim of this paper is to prove the following theorem:

Let R be a semiperfect ring. Let Q be a left R -module satisfying (a) Q is R-projective and (b) J(Q) is small in Q. Then Q is projective.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 3 , 01 September 1981 , pp. 365 - 367
Copyright
Copyright © Canadian Mathematical Society 1981

References

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